LCM of 716, 540, 324, 822, 198
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 716, 540, 324, 822, 198 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 716, 540, 324, 822, 198. So, keep reading to learn more.
Given numbers are 716,540,324,822,198
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 716,540,324,822,198 is 436999860.
Find LCM of 716,540,324,822,198 with Prime Factorization
| 2 | 716, 540, 324, 822, 198 |
| 2 | 358, 270, 162, 411, 99 |
| 3 | 179, 135, 81, 411, 99 |
| 3 | 179, 45, 27, 137, 33 |
| 3 | 179, 15, 9, 137, 11 |
| 179, 5, 3, 137, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 179 x 5 x 3 x 137 x 11 = 436999860
Therefore, the lowest common multiple of 716,540,324,822,198 is 436999860.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
716 x 540 x 324 x 822 x 198 = 20388665468160
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
716 : 1, 2, 4, 179, 358, 716
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
822 : 1, 2, 3, 6, 137, 274, 411, 822
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 716,540,324,822,198, is 2.
Now, the common factors can be found like this.
716:2x 2x 179
540:2x 2x 3x 3x 3x 5
324:2x 2x 3x 3x 3x 3
822:2x 3x 137
198:2x 3x 3x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 3x 3x 3x 3x 3x 3 = 23328
Therefore, the value for common factors is 23328.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 20388665468160/(2x23328)
LCM = 20388665468160/46656
LCM = 436999860
Thus, we can understand that the LCM of 716,540,324,822,198 is 436999860.
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FAQs on LCM of 716, 540, 324, 822, 198
1. What is the LCM of 716, 540, 324, 822, 198?
Answer: LCM of 716, 540, 324, 822, 198 is 436999860.
2. How to calculate the LCM of 716, 540, 324, 822, 198?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 716, 540, 324, 822, 198.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.